Question

The ratio of the heights of Amala and Vimala is 5:6. If Vimala is \[1.2m\] tall, then the height of Amala is
A. \[1.8m\]
B. \[1.0m\]
C. \[1.5m\]
D. \[2.4m\]

Answer 1

Hint: We would be equating the ratios to their heights.A ratio says how much of one thing there is compared to another thing.

Complete step-by-step answer:
Given: the ratio of the heights of Amala and Vimala is 5:6 and Vimala is \[1.2m\] tall
Let us consider that the height of Amala is \[x\]
Which implies \[\dfrac{5}{6} = \dfrac{x}{{1.2}}\]
\[ \Rightarrow x = \dfrac{{5 \times 1.2}}{6}\]
\[ \Rightarrow x = \dfrac{{5 \times 12}}{{6 \times 10}}\]
\[ \Rightarrow x = 1\]
Hence, Amala is 1.0 m tall
Therefore, option B. \[1.0m\] is the required solution.

Note: The decimal values should be multiplied carefully while calculating the height. The trick with ratios is to always multiply or divide the numbers by the same value.